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Solve the system x - y + z = 4, 2x + y - 3z = 0, x + y + z = 2 by matrices

The same question, asked 2 times: 3 May 2023 S2, 11 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S2

    120
    For the system x−y+z=4,  2x+y−3z=0,  x+y+z=2x-y+z=4,\;2x+y-3z=0,\;x+y+z=2, the values of x,y,zx,y,z respectively are given by

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  2. Question 2

    11 May 2023 S1

    131
    Let A=(1−1121−3111)A = \begin{pmatrix}1&-1&1\\2&1&-3\\1&1&1\end{pmatrix} and B=(402)B = \begin{pmatrix}4\\0\\2\end{pmatrix} such that AX=BAX = B, then X=X =

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